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Finding the Fourth Proportional to 465,551.88, 696,950 and 287,486.36

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Solution

The fourth proportional to 465,551.88, 696,950 and 287,486.36 is: 430,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,551.88 : 696,950 = 287,486.36 : x
  2. Step 2: Convert to fraction form
    465,551.88/696,950 = 287,486.36/x
  3. Step 3: Cross multiply
    465,551.88x = 696,950 × 287,486.36
  4. Step 4: Simplify right side
    465,551.88x = 200,363,618,602
  5. Step 5: Solve for x
    x = 200,363,618,602/465,551.88
  6. Step 6: Final answer
    x = 430,378.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.